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121021220100210 = 23523897432652367
BaseRepresentation
bin11011100001000101110010…
…110101011001100001110010
3120212111111220220120020111220
4123201011302311121201302
5111330302424321201320
61105220214143445510
734330331436622443
oct3341056265314162
9525444826506456
10121021220100210
11356198a1803501
12116a68818b6896
13526b337ab1511
1421c565b8412ca
15ded08dce3e40
hex6e1172d59872

121021220100210 has 128 divisors (see below), whose sum is σ = 306897225891840. Its totient is φ = 30481244699136.

The previous prime is 121021220100199. The next prime is 121021220100217. The reversal of 121021220100210 is 12001022120121.

It is a super-4 number, since 4×1210212201002104 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121021220100210.

It is not an unprimeable number, because it can be changed into a prime (121021220100217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44301447 + ... + 46953813.

It is an arithmetic number, because the mean of its divisors is an integer number (2397634577280).

Almost surely, 2121021220100210 is an apocalyptic number.

121021220100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021220100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153448612945920).

121021220100210 is an abundant number, since it is smaller than the sum of its proper divisors (185876005791630).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121021220100210 is a wasteful number, since it uses less digits than its factorization.

121021220100210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653232.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 121021220100210 its reverse (12001022120121), we get a palindrome (133022242220331).

The spelling of 121021220100210 in words is "one hundred twenty-one trillion, twenty-one billion, two hundred twenty million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 89 115 138 178 230 267 345 445 534 690 743 890 1335 1486 2047 2229 2670 3715 4094 4458 6141 7430 10235 11145 12282 17089 20470 22290 30705 34178 51267 61410 66127 85445 102534 132254 170890 198381 256335 330635 396762 512670 661270 991905 1520921 1983810 2652367 3041842 4562763 5304734 7604605 7957101 9125526 13261835 15209210 15914202 22813815 26523670 39785505 45627630 61004441 79571010 122008882 183013323 236060663 305022205 366026646 472121326 610044410 708181989 915066615 1180303315 1416363978 1830133230 1970708681 2360606630 3540909945 3941417362 5429395249 5912126043 7081819890 9853543405 10858790498 11824252086 16288185747 19707086810 27146976245 29560630215 32576371494 45326299663 54293952490 59121260430 81440928735 90652599326 135978898989 162881857470 175393072609 226631498315 271957797978 350786145218 453262996630 526179217827 679894494945 876965363045 1052358435654 1359788989890 1753930726090 2630896089135 4034040670007 5261792178270 8068081340014 12102122010021 20170203350035 24204244020042 40340406700070 60510610050105 121021220100210